if h(x, y) moves 12 units to the left and 4 units up. what is the rule that describes this translation . ​

If H(x, Y) Moves 12 Units To The Left And 4 Units Up. What Is The Rule That Describes This Translation

Answers

Answer 1

Answer:

(x,y) -> (x-12, y+4)

Step-by-step explanation:

(x,y) -> (x-12, y+4)


Related Questions

8. Solve:
The cd player costs $45 and is sells for $69. Find the mark up rate.

Answers

Answer:

53.3333333+ %

In 3 decimal places (if you prefer):

53.333 %

Step-by-step explanation:

mark up rate = gross profit/ cost (expressed as a percentage)

gross profit   = sale price - cost

mark up rate  = (69-45)/45 *100

                        =24/45 * 100

            = 53.333%

Answer:

53.33%

Step-by-step explanation:

Hello!

First, let's find out how much the cost went up:

69 - 4524

The cost went up by 24 dollars. To find the markup, we have to see what percentage of 45 is 24.

24/45 * 1000.5333... * 10053.33 %

The markup is 53.33 percent.

equation [tex] - 3 - 4x \leqslant 21.[/tex]solve..........

Answers

[tex]-3-4x\leq21[/tex]

In the las t image you can see that when you multiply both sides of the inequality for ( - 1 ) the symbol less than or equal changes to greater than or equal


Write the correct equation for the following statement.

You decide to rent a limo for prom. The rate is $175 plus $5 per mile
traveled. Write an equation to calculate your total cost (c) at the end of
the evening for a given number of miles (m).

If you travel 45 miles what will be your total bill at the end
of the evening?

Answers

The most appropriate choice for equation and linear equation will be given by-

c = 175 + 5m is the  equation for calculation of total cost (c) at the end of

the evening for a given number of miles (m).

For travelling 45 miles, total cost at the end of the evening is $400

What is equation and linear equation?

A statement that shows the equality between two mathematical expressions by connecting the two mathematical expression with an equal to (=)  sign is called equation.

A one degree equation is known as linear equation.

Here,

Let the number of miles be m

Fixed cost for renting a limo for prom = $175

For travelling one mile by limo, amount charged = $5

For travelling m miles by limo, amount charged = $5m

Total cost for renting a limo for pron = $(175 + 5m)

By the problem,

c = 175 + 5m

This is the equation for calculation of total cost (c) at the end of

the evening for a given number of miles (m).

Now,

Putting m = 45 in the above equation,

[tex]c = 175 + 5 \times 45\\c = 175 + 225[/tex]

[tex]c =[/tex] $[tex]400[/tex]

For travelling 45 miles, total cost at the end of the evening is $400

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Factor out the GCF in the polynomial 18x-12

Answers

[tex]\begin{gathered} 18x-12 \\ 6(3x-2) \\ \text{The GCF of the polynomial is 6} \end{gathered}[/tex]

Use the following graph of quadratic function f(x)=x2+2x−3 to answer the question. The graph of the function f(x) as described in the problem passing through (-3, 0), (-1, -4) & (1, 0). Which of the following domain restrictions allow an inverse function?There is more than one correct answer. Select all correct answers.

Answers

Looking at the graph of f(x), we can see that some values of y have two corresponding values of x.

Since the inverse function changes y with x and vice versa, there will be values of x that will have more than one corresponding value of y, this way it will not be a function.

In order to ensure that f(x) has an inverse function, we need a domain restriction that makes every value of y have only one corresponding value of x.

The domain restrictions that cause every value of y to have only one corresponding value of x are:

x >= -1

x <= -1

0 <= x <= 3

Therefore the correct options are the first, third and fourth options.

what is 7754-(9x34)+667

Answers

Answer:

the answer is 8115

Step-by-step explanation:

you do 9 times 34 which is 306. then u do 7754 minus 306 which is 7448. then u add 667 to that which is 8115.

I need help with this practice problem solving The subject, I believe, is complex numbers and vectors

Answers

Given:

Given that

[tex]r=\frac{5}{3\sin\theta-\cos\theta}[/tex]

Required: Convert to rectangular form.

Explanation:

The given equation in polar can be written as

[tex]\begin{gathered} r(3\sin\theta-\cos\theta)=5 \\ 3r\sin\theta-r\cos\theta=5 \end{gathered}[/tex]

Substitute

[tex]x=r\cos\theta,y=r\sin\theta[/tex]

Then the equation becomes 3y - x = 5.

Solve for y.

[tex]\begin{gathered} 3y=x+5 \\ y=\frac{1}{3}x+\frac{5}{3} \end{gathered}[/tex]

Final Answer:

[tex]y=\frac{1}{3}x+\frac{5}{3}[/tex]

For every five 'g's in the drama club, there are 4 'b's in the club. Suppose there are 24 'b's participating in drama club. How many 'g's are there?

Answers

There is 30 ‘g’s in the club by using proportions.

What is proportion?

Mathematically compare two numbers by comparing them proportionally. In terms of proportion, two sets of given numbers are said to rise or decrease in the same ratio if they are directly proportionate to one another.

Two ratios are said to be in proportion when they are the same. For instance, a train needs to cover 250 kilometers in 5 hours if it is moving at a speed of 50 kilometers per hour. 250 km/5 hours at 50 km/h, for instance.

Given, for 5 ‘g’ there are 4 ‘b’

There are 24 ‘b’ in drama club,

g = 24/4×5

g=30

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2(x-5)+7=x+8
What’s x equal?

Answers

Answer: x = 11

Step-by-step explanation:

       We can solve for x by isolating the variable with inverse operations.

    Given:

2(x - 5) + 7 = x + 8

    Distirbute:

2x - 10 + 7 = x + 8

    Combine like terms:

2x - 3 = x + 8

    Add 3 and subtract x from both sides of the equation:

x = 11


2x−3=x+8
Move the variable to the left side
2x−3−x=8
Subtract the terms
More Steps
x−3=8
Move the constant to the right side
x=8+3
Solution
x=11

Kuta Software - Infinite Algebra 2 Factoring By Grouping Factor ench completely. 1) 12a-9a? +40 - 3 Name Sarn on the ears Date : 120, 37443 4ac3a ²+1)-3(3u341) ta 2373 (403) 2) 2p'+ 5p² +6p+ 15 apstept sport 2plpa

Answers

Factor the expression.

[tex]\begin{gathered} 90au-36av-150yu+60yv=90au-150yu+60yv-36av \\ =30u(3a-5y)-12v(3a-5y) \\ =(3a-5y)(30u-12v) \\ =(3a-5y)(6\cdot5u-6\cdot2v) \\ =6(3a-5y)(5u-2v) \end{gathered}[/tex]

So answer is,

[tex]6(3a-5y)(5u-2v)[/tex]

The sum of three numbers is 107. the second number is 7 less than the first. The third number is 2 times the second. What are the numbers?

Answers

(x) + (x - 7) + (2(x-7)) = 107

x = 32

First number is 32.

Second number is 25.

Third number is 50.

32 + 25 + 50 = 107

Math checks out

What is the correct answer there are more selective choices I’ll show you later

Answers

It’s 10 last option

distribute 2(3x - 1) =

Answers

Given:

2(3x - 1)

Let's distrubute 2 to the terms in the parenthesis.

To distribute, use distributive property to distribute 2 to (3x - 1).

Thus, we have:

2(3x - 1)

= 2(3x) + 2(-1)

= 6x + -2

= 6x - 2

ANSWER:

6x - 2

Write a quadratic function in standard form containing the point (5,-6) and
x-intercepts -1 and 4.

Answers

Answer:

28th 5577e535r5ytt

Step-by-step explanation:

so h just Aliquippa well all am to PIZ well keep.

6. Three formulas for calculating present value are shown below.Formula #1Formula #2Formula #311PV =FV(1 + i)PVOA = CG--)PVAD = CG--T) +0Ci(1 + i)nti(1+i)nt-1Part 1: Using complete sentences, explain how each of these formulas is used.Part 2: Create an example scenario for at least one of the formulas.(3

Answers

SOLUTION:

Case: Present Value

Present Value is the value of an expected income stream determined as of the date of valuation. The present value is usually less than the future value because money has interest-earning potential.

Part 1

[tex]PV=\frac{FV}{(1+i)^{nt}}[/tex]

Sentence:

The Present Value is the Future Value divided by 1 is added to the rate of returns(i), raised to the number of periods(nt).

Part 2:

Present Value of Ordinary Annuity

[tex]PVOA=C[\frac{1}{i}-\frac{1}{i(1+i)^{nt}}][/tex]

C is the annuity payment deposited or received at the end of each period.

i= discount or interest rate per period

n= number of periods.

The factor with interest rate and the number of periods is multiplied by annuity payments

Part 3:

Present value of Annuity due

[tex]PVAD=C[\frac{1}{i}-\frac{1}{i(1+i)^{nt-1}}]+C[/tex]

C is the annuity payment deposited or received at the end of each period.

i= discount or interest rate per period

n= number of periods.

The factor with interest rate and the number of periods less 1 is multiplied by annuity payments and then added again to the annuity payments

Example of Part 1 (Present Value)

What is $56000 in 5 years time worth now, at an interest rate of 10%?

help me pleaseeeeeeeeeeeeeeeeeeeeeeeee !!!

Answers

Answer:

  f(x) = 5/6x +21

Step-by-step explanation:

You want the equation of the line with slope 5/6 through point (-18, 6) written using function notation.

Point-slope form

Given a slope and a point, it can be useful to write the equation of the line in point-slope form:

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

The line of interest has slope m = 5/6 through point (h, k) = (-18, 6), so its equation can be written as ...

  y -6 = 5/6(x -(-18))

  y = 5/6x +15 +6 . . . . . eliminate parentheses, add 6

  y = 5/6x +21

Function notation

Function notation gives a name to the relation, and identifies the independent variable. We want to call this f(x), meaning the name of the relation is "f", and the independent variable is "x". Essentially, "f(x)" replaces "y" in the above equation:

  f(x) = 5/6x +21


Devaughn is 8 years older than Sydney. The sum of their ages is 84. What is Sydney's age?

Answers

Answer:

Sydney should be 25 years old

Step-by-step explanation:

Answer:

Sydney is 38 years old.

Step-by-step explanation:

Devaughn is 46 years old, so 46 + 38 = 84.

Subtract 38 from 46.

46 - 38 = 8.

This concludes that Sydney is 38 years old.

Brainliest would mean a lot to me! Thanks!

Greg the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were 5 clients who did Plan A and 3 who did Plan B. On Thursday there were 2 clients who did Plan A and 12 who did Plan B. Greg trained his Wednesday clients for a total of 9 hours and his Thursday clients for a total of 9 hours. How long does each of the workout plans last?

Answers

The workout plan A lasts 1 hour and 30 mins and the workout plans B last around 30 mins only, solved through elimination method.

What is elimination method?

The equations are either added or subtracted to create an equation in one variable when using the elimination method. When two variables' coefficients are in opposition to one another, you add the equations to eliminate that variable, and when they are equal, you subtract the equations to do the same.

Let the time taken for plan A be x

and the time taken for plan B be y

Then the equation forms

Wednesday = 5x + 3y = 9 hours

Thursday = 2x + 12y =  9 hours

Lets solve this with elimination method

5(2x + 12y = 9 hours)

-2(5x + 3y = 9 hours)

⇒ 10x + 60y = 45 hours    

  -(10x + 6y = 18 hours)

     0 + 54y = 27 hours

⇒ y = 27/54 hours

   y = 1/2 hours

   y = 30 mins

Substituting the value of y in 2x + 12y =  9 hours,

2x + 12(0.5)=  9 hours

2x + 6 = 9 hours

2x = 3 hours

x = 3/2 hours

x = 1 hour 30 mins

Thus, the workout plan A lasts 1 hour and 30 mins and the workout plans B last around 30 mins only.

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Please help!!!!!!! I am stuck and don't understand
Given that f(x)=x^2-x and g(x)=3x+9, Find
(A) (f+g)(-2)=
(B) (f-g)(-2)=
(C) (fg)(-2)=
(D) (f/g)(-2)=

Answers

The value of the following composite function is as follows:

(f + g)(-2) = 5(f - g)(-2) = - 5(fg)(-2) = 18(f/g)(-2) = 2

How to solve composite function?

The composite functions can be solved as follows:

Therefore, the given function are:

f(x) = x² - x

g(x) = 3x + 9

Hence,

a.

(f + g)(-2) = f(-2) + g(-2)

f(-2) + g(-2) = (2)² - 2 + 3(-2) + 9

f(-2) + g(-2) = 4 - 2 - 6 + 9

f(-2) + g(-2) = 5

Therefore, the function (f + g)(-2) = 5

b.

(f - g)(-2) =  f(-2) - g(-2)

f(-2) - g(-2) = (2)² - 2 -  (3(-2) + 9)

f(-2) - g(-2) = 4 - 2 - 3

f(-2) - g(-2) = -5

Therefore, the function (f - g)(-2) = - 5

c.

(fg)(-2)= f(-2) × g(-2)

f(-2) × g(-2) = (-2)² - (-2) ×  3(-2) + 9

f(-2) × g(-2) = 4 + 2 × 3

f(-2) × g(-2) = 6 × 3

f(-2) × g(-2) = 18

Therefore, the function (fg)(-2) = 18

d.

(f/g)(-2) = f(-2) / g(-2)

f(-2) / g(-2) = -2² - -2 / 3(-2) + 9

f(-2) / g(-2) = 6 / 3

f(-2) / g(-2) = 2

Therefore, the function (f/g)(-2) = 2

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6. Taylor lost 5 chips to Minnie while playing a card game. Taylor then lost 20 chips toSally in the second round. Taylor won 10 chips from Paul in the 3rd round. Howmany chips did Taylor make or lose during these 3 rounds?

Answers

Step 1

[tex]\begin{gathered} \text{Given; } \\ \text{Taylor lost 5 chips to Minnie in round 1} \\ \text{Taylor lost 20 chips to Sally in round 2} \\ \text{Taylor won 10 chips from Paul in the 3rd round.} \end{gathered}[/tex]

Step 2

Find how many chips Taylor made or lost during these 3 rounds.

[tex]\begin{gathered} \text{Taylor made 10 chips} \\ \text{Taylor lost (20+5) chips} \end{gathered}[/tex]

[tex]\begin{gathered} \text{Total chips made or lost= 10+(-25)} \\ \text{Total chips made or lost}=10-25=-15 \\ \text{The negative sign means he lost chips} \end{gathered}[/tex]

Since the total number of chips made or lost = -15, then Taylor lost 15 chips during the 3 rounds. If it where to be positive, then it woud have ment Taylor won some chips.

Therefore, Taylor lost 15 chips in the 3 rounds

I will give Brainiest

Answers

Answer:

The answer is -2.93333 or -44/15

Answer:

See below

Step-by-step explanation:

(1.6 )( 2 1/6 -4)

1.6 ( -1 5/6) =-2.93333    or -2  14/15

In a two digit number, the tens digit s twice the ones digit. the diffrence of the ones digit and half the tens digit is 0. An equation created to find the digit in the ones place will have:No solutionOne soulutionMany solutions

Answers

let

the two digit = xy

x= tens digit

y = ones digit

2x = y

[tex]\begin{gathered} y-\frac{1}{2}(2x)=0 \\ y-x=0 \end{gathered}[/tex]

2x - x =0

x = 0

write an equation of the line that passes through the points in the table x=0,1,2,3 y=10,7,4,1

Answers

Equation of the line that passes through the points in the table:

x=0,1,2,3

y=10,7,4,1

is y = -3x + 10

What is Equation of the Line?

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept. Key Concept. Y = mx + c is the equation for a straight line with a gradient of m and an intercept of c on the y-axis.

Since, The Equation of the line:

y = mx + b

where m is the slope

For finding slope passing through (0,10) and (1, 7)

m = (y2 - y1)/(x2 - x1)

m = (7 - 10) / (1 - 0)

m = -3/1

m = -3

Therefore, the slope of the line is −3.

Now use the slope and either of the two points to find the y-intercept.

y=mx+b

10 = (-3)(0) + b

10 = b

Write the equation in slope intercept form as:

y=mx+b

y = -3x + 10

Hence, the equation of the line is y = -3x + 10

Now, for other two points (2, 4) and (3, 1)

For finding slope passing through (2, 4) and (3, 1)

m = (y2 - y1)/(x2 - x1)

m = (1 - 4) / (3 - 2)

m = -3/1

m = -3

Therefore, the slope of the line is −3.

Now use the slope and either of the two points to find the y-intercept.

y=mx+b

4 = (-3)(2) + b

4 = -6 + b

4+6 = b

b = 10

Write the equation in slope intercept form as:

y=mx+b

y = -3x + 10

Hence, the equation of the line is y = -3x + 10

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Max's bedroom is rectangular shaped and has a total area
of 140 square feet. If the short wall is at 10 feet long,
what is the length of the longer wall?

Answers

Answer:

14 ft

Step-by-step explanation:

Area is length times width. So, you need to find something times 10 that equals 140. Or, you could just do 140 divided by 10. 140/10=14.

help me with the last question pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

d

Step-by-step explanation:

The number of years must be non-negative.

This eliminates all of the options except for d.

The number of bacteria present after t hours is given by the function B = 100e^0.563t. How many bacteria will there be after 4 hours? Round to the nearest whole number and label your answer.

Answers

Answer;

[tex]B\text{ = 951}[/tex]

Explanation;

Here, we want to get the number of bacteria that will be present after 4 hours

What we have to do here is to substitute 4 for t in the equation of the model given

Mathematically, we have this as;

[tex]\begin{gathered} B=100e^{0.563t} \\ B=100e^{(0.563\times4)} \\ B\text{ =950.67 = 951} \end{gathered}[/tex]

Select all correct solutions for the equation.

15(2x - 10) + 4x = -2(15x + 4)


A. x = 2.21875

B. x = 14264x = 14264

C. x = 35.5

D. x = 7132x = 7132

E. x = 39.5

F. x = 792x = 792

G. x = 714

Answers

Answer:

Step-by-step explanation:

We can rewrite:

15(2x-10) + 4x = -2(15x+4)

gives

30x - 150 + 4x = -30x -8

Adding 30x on both sides and adding 150 on both sides gives us:

30x + 4x - 150 + 30x + 150 = -30x - 8 + 150 + 30x

which gives us: 64x = 142

We can now divide both sides by 64, which gives us:

x = 142 / 64 = 2.21875

So the only right answer is A

You can fill in all the other options into the starting equation if you want too see this is indeed true

Based on a​ poll,67 ​% of Internet users are more careful about personal information when using a public​ Wi-Fi hotspot. What is the probability that among 4 randomly selected Internet​ users, at least one is more careful about personal information when using a public​ Wi-Fi hotspot? How is the result affected by the additional information that the survey subjects volunteered to​ respond?

Answers

The probability that among 4 randomly selected Internetusers, at least one is more careful is 0.988.

Because of the bias toward convenience when retrieving the sample, the outcome might be higher. because respondents to the survey were chosen voluntarily, not at random.

What is probability?

Calculating the likelihood of an event occurring, which is represented as a number between 1 and 0, is the subject of the mathematical branch known as probability. A coin toss, for instance, has a probability of 1 because, assuming the coin lands flat, there are only two possible outcomes: "heads" or "tails."

This means that any event with this probability is guaranteed to occur. For instance, a coin toss has an equal chance of coming up "heads" or "tails," so an event with a probability of.5 can be regarded as having equal odds of happening or not happening.

According to the poll, 67​% of Internet users are more careful about personal information when using a public​ Wi-Fi hotspot.

Which means the probability of more careful is 0.67

And probability of not careful is: 1-0.67 = 0.33

We have selected four random Internetusers and we need to find the probability that at least one is more careful about personal information.

P(At least one careful) = 1 - P(None of them careful)

P(At least one careful) = 1 - (0.33×0.33×0.33×0.33)

P(At least one careful) = 1 - 0.012

P(At least one careful) = 0.988

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60 is 24% of what number?

Answers

Explanation

Question

60 is 24% of what number?

Let the number be n.

is represent = in mathematics

of represent x

60 is 20% of what number?

60 = 20% x n

[tex]undefined[/tex]

a. What is the dependent variable?b. What is the independent variable?c. What is the slope (rate of change) of the line?d. What does this number mean for the circus?e. What is the y-intercept (initial condition) of the line? Why?

Answers

Part (a)

The dependent variable should be y for a function y=f(x).

Therefore, in this case dependent variable is profit

Part (b)

The independent variable is number of tickets sold.

Part (c)

Consider two coordinates in the graph (40,60) and (20,30).

Then, the slope will be,

[tex]\begin{gathered} m=\frac{y2-y1}{x2-x1} \\ =\frac{60-30}{40-20} \\ =1.5 \end{gathered}[/tex]

Therefore, the avlue of slope is 1.5.

Part (d)

The slope is the rate of change profif with repect to the number of tickets sold for a circus.

Part (e)

From the graph, it can be noted that the y intersept is 0. Because intitial point is (0,0).

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It was all so overwhelming, so loud, and Hattie put her hands over her ears to shut out the sounds of the taxi horns and the thousand different conversations. Her little sister Evelyn didnt; she was trying to take it all in.Her mother pulled out a map from her purse and held it in shaky hands. According to this, our new home should be right here. Hattie traced her mothers index finger to a building that was so high that she had to crane her neck to see the top.This? Evelyn gasped.Her father, the man who was never at a loss for words, didnt say anything. He adjusted the weight of the three bags that contained most of the possessions theyd been able to bring on the three-hour plane journey that had uprooted them from their old lives and deposited them in New York City.Her father struggled to open the heavy front door, and when they were inside, the smell of hundreds of different meals clashed in her nose: spaghetti, fried chicken, fish, and curry. They stood in front of a bank of elevators as Evelyn pushed the button for the seventeenth floor. When they entered what would be their new home, Hattie spun around in tiny circles as her father gave them the grand tour.Here is where you and Evelyn will sleep, he announced. He pointed to a room that was half the size of the Iowa bedroom that was hers alone, the same Iowa bedroom where shed had all her sleepovers and whose walls still showcased the crayon scribbles from when she was a toddler. Shed tried to scrub them clean, but they were more stubborn than she was, so they would be there for the new family that would be moving in soon.Evelyn tried to sound excited. We get to share a room!Hattie was grateful for her younger sister, for the way that she could always look at the bright side of things. Hattie couldnt say anything in responseshed been speechless for most of the trip. Instead, she followed her father down the hallway that was narrow enough for one person to fit through, maybe two if they squeezed shoulder to shoulder.And here is where your mom and I will be. She could hear the forced excitement in her fathers voice for a move that he didnt want to make either. But theyd had to sell the farm, and when this opportunity presented itself, there had really been no choice.The tour was over as soon as it startedtiny kitchen, one bathroom, boxy living room. The four of them would be sharing an apartment that was smaller than the drafty old kitchen in the farmhouse.Without a word, they grabbed boxes and started about the business of unpacking in rooms that were inches away from one another rather than feet. Hattie walked over to a dirty square window in her new shared bedroom. She wiped it clean, hoping to see something that would remind her of Iowa, but the window only looked out onto more concrete and glass. A wave of sadness washed over herthe first crack in the numbness that shed been feeling for the past month since she found out about the move. She turned her back and lowered her head so Evelyn wouldnt see her, but then the sobs came, each louder than the previous one.There was a hand on her shoulder. She wanted to put the smile back on because she knew it would be better for Evelyn and everyone else that way, but she couldnt summon it now. She turned around and saw her blurry sister through tear-filled eyes. In front of her face, Evelyn was holding a folded-up picture of the whole family in front of the farmhouse.I miss it too, Evelyn began, but we dont have to forget it.Together, they taped the picture to the corner of the bedroom window so they could see it whenever they wanted. Hattie pulled Evelyn close, knowing that a place would never be as important as the people in it.Part AHow does Hattie feel about Evelyn's reaction to moving to New York City in "Home"?ResponsesA. Hattie is jealous of Evelyn's optimism about the move.B. Hattie appreciates that Evelyn is able to feel positive about the move.C. Hattie wants Evelyn to be more serious about the move.D. Hattie is angry at Evelyn for forgetting their former home so quickly. HELP!! // You need to download 4 games for your math class. Each game is the same price. Since this is your first time downloading a game from the site, you are also charged a one-time $0.75 access fee. You are charged a total of $5.50. What is the cost of each game? Show your work and round your answer to the nearest cent. 72 km/h converted into m/s Suppose that w and x are points on the number line. if wx= 10 and x lies at -13, where could w be located? if there is more that one location, separate then with comas. Which of the following could be a real-world description of 2x ?10A. The cost of a pizza split by 10 people plus a 2$ tipB. The cost of a pizza plus a 2$ tip divided by 10 people C. The cost per pizza for 10 pizzas divided by 2 people D. The cost per pizza for 2 pizzas divided by 10 people What is the value of the gas constant, r, in units of l atm mol k ? report the value with at least three significant figures.